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The nonseparability of simply presented mixed groups. (English) Zbl 0943.20053

Summary: It is demonstrated that an isotype subgroup of a simply presented Abelian group can be simply presented without being a separable subgroup. In particular, the conjecture based on a variety of special cases that Warfield groups are absolutely separable is disproved.

MSC:

20K21 Mixed groups
20K27 Subgroups of abelian groups